I am having trouble with this proof and need some help.
Prove that a median drawn to a side is of a triangle is smaller than the semisum of the other two sides.
Hint: Double the median by prolonging it past the midpoint of the first side.
I am having trouble with this proof and need some help.
Prove that a median drawn to a side is of a triangle is smaller than the semisum of the other two sides.
Hint: Double the median by prolonging it past the midpoint of the first side.
Following the hint - Suppose triangle ABC had the median AO (O being the midpoint of BC) - extend it to point D - so that AD = 2AO. Join BD. Apply triangle inequality to triangle ABD.
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